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Finding the Fourth Proportional to 11,607.48, 17,418.84 and 6,924

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Solution

The fourth proportional to 11,607.48, 17,418.84 and 6,924 is: 10,390.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,607.48 : 17,418.84 = 6,924 : x
  2. Step 2: Convert to fraction form
    11,607.48/17,418.84 = 6,924/x
  3. Step 3: Cross multiply
    11,607.48x = 17,418.84 × 6,924
  4. Step 4: Simplify right side
    11,607.48x = 120,608,048.16
  5. Step 5: Solve for x
    x = 120,608,048.16/11,607.48
  6. Step 6: Final answer
    x = 10,390.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.